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Finding the Third Proportional to 150,844.50 and 223,657

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Solution

The third proportional to 150,844.50 and 223,657 is: 331,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,844.50 : 223,657 = 223,657 : x
  2. Step 2: Convert to fraction form
    150,844.50/223,657 = 223,657/x
  3. Step 3: Cross multiply
    150,844.50x = 223,657 × 223,657
  4. Step 4: Simplify right side
    150,844.50x = 50,022,453,649
  5. Step 5: Solve for x
    x = 50,022,453,649/150,844.50
  6. Step 6: Final answer
    x = 331,616.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.